A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 oldal |
Részletek a könyvből
1 - 5 találat összesen 47 találatból.
2. oldal
... considered as positive , lines measured in the oppo- site direction must be con- M O Ps Pa N ' Y ' X M sidered as negative . It is , of course , arbitrary in which direction we measure positive lines , but it is customary to consider OM ...
... considered as positive , lines measured in the oppo- site direction must be con- M O Ps Pa N ' Y ' X M sidered as negative . It is , of course , arbitrary in which direction we measure positive lines , but it is customary to consider OM ...
4. oldal
... considered positive , then the distance QP , measured from Q to P , is considered negative . If indeed we are only concerned with the single distance between two points , it would be unmeaning to affix any sign to it , since by ...
... considered positive , then the distance QP , measured from Q to P , is considered negative . If indeed we are only concerned with the single distance between two points , it would be unmeaning to affix any sign to it , since by ...
12. oldal
... considered the geometrical signification of the given equation . Thus , for example , we saw ( Ex . 3 , p . 4 ) that the equation ( x − 2 ) 2 + ( y − 3 ) 2 = 16 - - expresses that the distance of the point xy from the point ( 2 , 3 ) ...
... considered the geometrical signification of the given equation . Thus , for example , we saw ( Ex . 3 , p . 4 ) that the equation ( x − 2 ) 2 + ( y − 3 ) 2 = 16 - - expresses that the distance of the point xy from the point ( 2 , 3 ) ...
18. oldal
... considered A B Ax + By + C = 0 , or 4x + 2y +1 = 0 . This equation must be satisfied by the coordinates of every point on MN , and there- fore by those of M , which ( see Art . 2 ) are x = α , y = 0 . Hence we have # a + 1 = 0 , / = - 1 ...
... considered A B Ax + By + C = 0 , or 4x + 2y +1 = 0 . This equation must be satisfied by the coordinates of every point on MN , and there- fore by those of M , which ( see Art . 2 ) are x = α , y = 0 . Hence we have # a + 1 = 0 , / = - 1 ...
64. oldal
... considered as intersecting it at an infinite distance , but ( Art . 40 ) an equation of the form a + C = 0 represents a line through the intersection of the lines a = 0 , C = 0 , or ( Art . 67 ) through the intersection of the line z ...
... considered as intersecting it at an infinite distance , but ( Art . 40 ) an equation of the form a + C = 0 represents a line through the intersection of the lines a = 0 , C = 0 , or ( Art . 67 ) through the intersection of the line z ...
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Más kiadások - Összes megtekintése
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2016 |
Gyakori szavak és kifejezések
anharmonic ratio asymptotes ax² axes bisected bisectors centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal express find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree sides square substituting tangential equation theorem transform trilinear coordinates values vanish vertex vertices
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